Key Features Expon. f(x)'s
Transformations
Growth or Decay
Percent Rate
Word Problems
100
If, y=a(b)x , what does a and b represent?
a=initial amount/y-intercept
b=multiplier
100
What is the transformation of the following equation from the parent function?
y=(2)^x+7
Up 7
100
A bunny population doubles every 6 months. If the starting population is 10, how many will you have after 3 years? What is the initial population? What is the growth factor?
initial population = 10
growth rate = 2
100
What is the percent growth/decay rate?
y=5(0.5)^x
50%
100
2243
200
What is the y-intercept and growth factor for the function f(x)=2(3)x
y-intercept=2
growth factor= 3
200
What is the transformation of the following equation from the parent function?
y=5(2)^(x-3)
Stretch and right 3
200
In exponential functions, when b>1 this will cause an exponential growth or decay?
Exponential growth
200
What is the percent growth/decay rate?
y=5(1.3)^x
30%
200
What will be the cost in 17 years?
$32,313.27
300
What is the y-intercept and horizontal asymptote?
y-intercept = (0, 1)
asymptote = y=0
300
What is the transformation of the following equation from the parent function?
y=(2)^(x+1)+4
Left 1 and up 4
300
How do I know if an exponential function is exponential decay from an equation?
If the b is in between 0 and 1
300
What is the percent growth/decay rate?
y=(0.01)^x
99%
300
16,941 people
400
What's the growth factor?
b=2
400
What is the transformation of the following equation from the parent function?
y=1/2(2)^x+6
Shrink and up 6
400
f(x)=5(1.07)x
Does this functions represent exponential growth or decay? What's the percent growth/decay factor?
Exponential Growth. 7%.
400
Is this exponential growth or decay?
What is the percent growth/decay rate?
y=1/2(0.7)^x
Decay. 30%
400
Is the function exponential growth or decay? 
Decay
500
If looking at a table of values, how do I know if it is linear or exponential? (Use exact terms)
Linear has a constant difference
Exponential has a common ratio
500
What is the transformation of the following equation from the parent function?
y=-3/2(2)^(x+4)-5
Reflect the x-axis, stretch, left 4, down 5
500
Annual sales of a fast food restaurant are $530,000 and increasing at a rate of 5%. What will the annual sales be in 6 years?
530,000(1.05)6 =$710,250.69
500
What is the percent growth/decay rate?
y=60(1.33)^x
33%
500
If you put $500.00 into an account and the account earns 3% interest, compounded quarterly. How much will be in the account after 5 years?
$580.59